Image:Taylorsine.svg
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Taylorsine.svg (1600 × 1200 pixel, file size: 9 KB, MIME type: image/svg+xml)
Summary
The sine function and its 5thdegree Taylor polynomial,
Instructions
Generated with the following gnuplot script, manually colourmatched with the previous chart here for consistency.
set terminal svg size 1600 1200 fname "Times New Roman" fsize 48 set output "taylorsine.svg" set xzeroaxis lt 0 lw 4 set yzeroaxis lt 0 lw 4 unset border set key box set samples 200 set bmargin 0 set lmargin 0 set rmargin 0 set tmargin 0 set xtics axis ("2π" 2*pi, "π" pi, "π" pi, "2π" 2*pi) set mxtics 2 set ytics axis ("" 5, "" 4, "" 3, "" 2, "" 1, "" 1, "" 2, "" 3, "" 4, "" 5) set mytics 20 set xrange [3*pi:3*pi] set yrange [5:5] f(x) = x  (x**3/3!) + (x**5/5!) plot sin(x) lt 10 lw 4, f(x) lt 12 lw 4
Licensing
I, the creator of this work, hereby release it into the public domain. This applies worldwide.
In case this is not legally possible,
I grant any entity the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
File history
Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.
Click on date to download the file or see the image uploaded on that date.
 (del) (cur) 09:55, 14 March 2006 . . Ktims ( Talk  contribs) . . 1600×1200 (8,789 bytes) (The sine function and its 7thdegree Taylor polynomial, <math>f(x) = x  \frac{x^3}{3!} + \frac{x^5}{5!}  \frac{x^7}{7!}</math>)
 (del) (rev) 07:27, 14 March 2006 . . Ktims ( Talk  contribs) . . 1600×1200 (7,491 bytes) (The sine function and its 7thdegree Taylor polynomial, <math>f(x) = x  \frac{x^3}{3!} + \frac{x^5}{5!}  \frac{x^7}{7!}</math>)
 (del) (rev) 05:29, 14 March 2006 . . Ktims ( Talk  contribs) . . 1600×1200 (7,368 bytes) (The sine function and its 7thdegree Taylor polynomial (<math>f(x) = x  \frac{x^3}{3!} + \frac{x^5}{5!}  \frac{x^7}{7!}</math>)
 (del) (rev) 05:26, 14 March 2006 . . Ktims ( Talk  contribs) . . 1600×1200 (7,361 bytes) (The sine function and its 7thdegree Taylor polynomial (<math>f(x) = x  \frac{x^3}{3!} + \frac{x^5}{5!}  \frac{x^7}{7!}</math>)

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File links
 Mathematics
 Talk:Mathematics
 Trigonometric function
 Taylor series
 User:Mateuszica/Mathematics
 User talk:Darkliight
 User:Paul August/Subpage 25
Category: Usercreated public domain images